Those two things will not occupy the same space (i.e. Impact rated and Pet Door). Your best bet is going to be a kit that works with the door or cut a hole in the house.

I figured this was going to be difficult. I will discuss with my builder to see if he has a suggestion.

Make it a size that will not accommodate an alligator that is capable of doing damage.

Hahaha... Excellent point Mark. Fortunately, we have multiple layers of defense against alligators penetrating the screen enclosure. I have heard of other animals winding up in homes — mostly other dogs and cats.

I used a diy insert, was designed with a dogie door, removable when I wanted to lock the patio door.

An attempt to keep bugs out, not hurricanes.

Sheet of plywood, cut to fit with a doggy door. Used with a sliding door.

The best option is probably going to be a penetration in the cement wall.

https://www.petdoors.com/products/hale-wall?gclid=CjwKCAjwxqX4BRBhEiwAYtJX7fbxP3odM6aaeOnpDhw-eiwuzXDHWzl5hH4_Yyx5Wj_fH8xcgjh2vBoCQF8QAvD_BwE#189=63&224=161&80=24&23=7967&11=8228&35=15754

My main concern would be to make it a little smaller than the skinniest teenage boy in the neighborhood.

A FL pet door? OMG. Hello critters.